Victoriano Carmona, Jesús Cuevas-Maraver, Fernando Fernández-Sánchez, Elisabeth García-Medina, editors.
Volume Designation
Vol. 1,dollar5Mathematical theory and computational methods /
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xv, 424 pages) :
Other Physical Details
illustrations (some color).
SERIES
Series Title
Springer complexity
Series Title
Understanding complex systems,
ISSN of Series
1860-0832
GENERAL NOTES
Text of Note
Includes index.
CONTENTS NOTE
Text of Note
Part 1. BIFURCATION ANALYSIS · Analytic integrability of some degenerate centers . Checa, Isabel. · Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system. Domínguez, Cinta. · Normal forms for a class of tridimensional vector fields with free-divergence in its first component. Fuentes, Natalia. · Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system. Rodríguez-Luis, Alejandro J. Part 2. WAVE EQUATIONS · Solitons and vortices in the Nonlinear Dirac Equation. Kevrekedis, Panayotis. ·; Stochastic Korteweg -- de Vries type equations. Karczewska, Anna. · Exact and adiabtic invariants of KdV type equations. Rozmej, Piotr. · Gravitational waves as nonlinear waves and solitons. Villatoro, Francisco R. Part 3. OTHER DIFFERENTIAL AND DIFFERENCE EQUATIONS · On the dynamics of the nonlinear logistic difference equation with two delays. Balibrea-Gallego, Francisco, · Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems. Desroches, Mathieu. · Principal solutions and variation of constants formula for a class of functional differential equations. Maroto, Ismael. · Diffusion Equations in Inhomogeneous Media from the Master Equation. Salasnich, Luca. Part 4. COMPUTATIONAL METHODS · On the numerical approximation to generalized Ostrovsky equations. Durán, Ángel. Simulation of Laser Dynamics with Cellular Automata: progress and challenges . Guisado, José Luis.
0
SUMMARY OR ABSTRACT
Text of Note
This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783319667669
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783319667652
International Standard Book Number
9783319667676
PARALLEL TITLE PROPER
Parallel Title
Mathematical theory and computational methods
TOPICAL NAME USED AS SUBJECT
Nonlinear systems, Congresses.
Nonlinear theories, Congresses.
Applications of Nonlinear Dynamics and Chaos Theory.
Complex Systems.
Mathematical and Computational Engineering.
Mathematical Applications in the Physical Sciences.
Mathematical Physics.
Statistical Physics and Dynamical Systems.
Applied mathematics.
Mathematical modelling.
Mathematical physics.
Mathematics-- Applied.
Maths for engineers.
Nonlinear science.
Nonlinear systems.
Nonlinear theories.
Science-- Chaotic Behavior in Systems.
Science-- Mathematical Physics.
Statistical physics.
(SUBJECT CATEGORY (Provisional
PBWR
PBWR
PHDT
SCI012000
DEWEY DECIMAL CLASSIFICATION
Number
003/
.
75
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA427
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Carmona, Victoriano
Cuevas-Maraver, Jesús
Fernández Sánchez, Fernando
García-Medina, Elisabeth
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
International Conference on Nonlinear Mathematics and Physics(2016 :, Sevilla, Spain)